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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a1=-5/2, a2>=-5/2 > For fixed z and a1=-5/2, a2=-3/2, a3>=-3/2 > For fixed z and a1=-5/2, a2=-3/2, a3=3/2 > For fixed z and a1=-5/2, a2=-3/2, a3=3/2, b1=1/2





http://functions.wolfram.com/07.27.03.a8zu.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), -(3/2), 3/2}, {1/2, 4}, -z] == (32 (40 + 287 z + 711 z^2 + 13259 z^3 - 16523 z^4 + 378 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(72765 Pi z^3) + (1/(72765 Pi z^3)) (32 Sqrt[1 + z] (40 + 287 z + 711 z^2 + 13259 z^3 - 16523 z^4 + 378 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2]) + (64 Sqrt[1 + z] (-20 - 141 z + 4209 z^2 - 18247 z^3 + 7119 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(72765 Pi z^3) - (128 (10 + 73 z + 2460 z^2 - 2494 z^3 - 4702 z^4 + 189 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(72765 Pi z^3)










Standard Form





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MathML Form







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2 </cn> </apply> <cn type='integer'> 1 </cn> </apply> <cn type='integer'> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 72765 </cn> <pi /> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02